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Finding the Fourth Proportional to 17,048.68, 25,569.54 and 5,956

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Solution

The fourth proportional to 17,048.68, 25,569.54 and 5,956 is: 8,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.68 : 25,569.54 = 5,956 : x
  2. Step 2: Convert to fraction form
    17,048.68/25,569.54 = 5,956/x
  3. Step 3: Cross multiply
    17,048.68x = 25,569.54 × 5,956
  4. Step 4: Simplify right side
    17,048.68x = 152,292,180.24
  5. Step 5: Solve for x
    x = 152,292,180.24/17,048.68
  6. Step 6: Final answer
    x = 8,932.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.